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单词 Aitken's method
释义

Aitken's method

(in numerical analysis) If an iterative formula inline is to be used to solve an equation, Aitken's method of accelerating convergence uses the initial value and the first two values obtained by the formula to calculate a better approximation than the iterative formula would produce. This can then be used as a new starting point from which to repeat the process until the required accuracy has been reached. While this is computationally intensive, it is the sort of process which spreadsheets handle very easily.

If inline are the initial value and the first two iterations and inline are the forward differences then inline. More generally this will be expressed as inline.

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更新时间:2024/5/20 13:24:34